Answer:
-9A · √(5yA)
Explanation:
The coefficient -3 stays the same.
45 factors into 5·9, which is helpful because 9 is a perfect square.
Thus, √45 = 3√5.
y cannot be factored. It stays under the radical.
A³ can be factored into A² (a perfect square) and A.
Thus,
-3√(45yA³) = -3 · 3√5 · √y · A · √A, or
= (-3)(3)(A) · √(5yA), or
= -9A · √(5yA)